07/27/07 (#0042)
FYI
Just to let you know, The
Nutshell is not dead - just recovering from a sudden major change in
circumstances. Hang in there!
The Nutshell is coming back soon!
Until
then,
Paul W.
07/18/07
(#0041) The irrationality of complete rationality
Is absolute rationality possible? Or even
rational? We don't and evidently can't know everything (e.g. we can't know with
certainty what the future holds). So, right off the bat, we lack the data
needed for a completely rational analysis of the situation and the
situation is changing in unpredictable ways even as we analyse it. Even in the
realm of pure logic where all the postulated givens are exactly known, it turns
out there are propositions which cannot be proven to be true or untrue and
problems which are intrinsically insoluble.
We can be rational
only up to a point. But there's life beyond that point which is unreachable
by rational analysis, and it is that irrational part of life that is the most
significant and most interesting. Those aspects of life which we can
rationalize and bring under control become predictable and therefore boring.
Yes, we need this predictability in order to have a stable base for our
lives but maintaining a stable base is a maintenance chore - it is not what we
refer to when we say "get a life!".
The intrinsically irrational aspects
of life is where it's at, where wonder and joy reside, the source of
unexpected new possibilities and of all creativity. What a wonderful
world this is where not everything can be explained! How horrible it would
be if we knew and understood everything - there would be no point living
in such a world. Fortunately, such a world cannot exist: the ideal of living
completely rationally is not only irrational, it's impossible.
The
Nutshell is taking Thursday off.
Until Friday,
Paul W.
07/17/07
(#0040) Mathematics redefined
The OED defines mathematics
as: "the abstract science which investigates deductively the conclusions
implicit in the elementary conceptions of spacial and numerical relations".
That's pretty good (I wouldn't expect anything less from the OED) but for my
taste it's too specific. For starters I would substitute "possible relations
among magnitudes" for "spacial and numerical relations". This
gets around the embarassment of having to define "spacial" and "numerical". I
define "magnitude" as the difference between two distinct entities whether real
or imaginary. In the case of pure mathematics the entities are always imaginary
and ideal, with exactly defined properties. In the case of applied mathematics
the entities are real and only imperfectly knowable.
Here's my revision
of the OED definition of pure mathematics: "Investigation of logically possible
relations among postulated entities with exactly defined structures/properties".
You gotta admit it has an edge over the OED definition in terms of conciseness
and economy of expression. Also, it's more general - the entities can be
anything conceivable and every conceivable way they can relate is grist for the
mathematical mill. Numbers and spaces are only incidental by-products of
mathematical reasoning.
As for "applied mathematics", there are those who
do not consider it to be mathematics at all but mere counting and
measuring. But counting and measuring was the humble beginning of
mathematics. And, as distressing as it is to pure mathematicians, some of
the results of their abstract reasoning keep finding applications in the real
world. Nobody knows why.
Until tomorrow,
Paul W.
07/16/07 (#0039) Democracy: Faltering towards rationality
The great majority of
voters in a democratic election are uninformed, misinformed,
confused, prejudiced and politically naive. In other words unqualified
and unable to make a rational choice. The bulk of the votes cast is
just chaotic noise, signifying nothing. It is the task of the politicians and
special interest groups to manipulate and shape this amorphous mass of
votes to their own advantage by disseminating
selected information and misinformation, confusing the issues and
appealing to the prevailing prejudices.
However, there is a
meaningful signal, however feeble, rising above the noise. Some of it comes from
the minority of the informed and thoughtful voters with a clear understanding of
the issues. And some of it comes from the ignorant mass of the voters itself.
Ignorant though they may be, the voters collectively manifest the current
politico-economic climate. And if people in general are unhappy enough they
will seek to change the status quo (not always for the
better) regardless of the agendas of the politicians and the special
interests. That in spite of the fact that people, whether they consider
themselves conservative or liberal, normally tend
to resist changes in their personal status quo.
So
there is hope. The influence of the informed vote and the
people's limited tolerance for deteriorating conditions provide an opposition to
the politicians' and special interest's agendas. It is usually too
weak to effect substantial changes and the changes effected are not always
for the better (the usual two steps forward one step back pattern of progress)
but it is there, and in course of time its effect is cumulative.
Besides, I believe optimistically that the average ignorance of the mass of
the voters is on the decline and will continue to decline. But that's just
me.
Until tomorrow,
Paul W.
07/14/07 (#0038) Mind at play
This is the month of the
Harry Potter double whammy: the fifth movie just came out this week and the
seventh (and last) book is due out a week from today. OK, I admit it: I own all
six of the HP epics as well as the four movies and I did go to see the fifth
one. Why? Well, obviously not in my role as the seeker after truth - the HP
tales are not only fiction (which I distrust on principle as a vehicle for
truth) they are fantastic fiction, deliberately unmoored from reality
except for certain links necessary to retain an aura of credibility.
What I like about them and what keeps me coming back for more is the sheer
entertainment they provide. Yeah, let's get fantastic, let's let go of the
mundane world of the muggles and let's create something fabulously different. It
doesn't have to be true, it doesn't have to be instructive, it only has to be
fascinating and thrilling. Yee haw!
Which is why, if I do read fiction,
which is rarely, I usually read fantasy or science fiction. Forget truth - I
don't look for truth in novels - let's have innovation, originality and
freedom to imagine anything. This is not a study of the world as it is,
this is unfettered mind at play. And it is from such play that great
ideas are sometimes born which do find application in the real
world and end up casting new light on truth.
Until
Monday,
Paul W.
07/13/07 (#0037) Source of hope: greatness among us
Friday the thirteenth - a triskadekaphiliac's delight.
Politics, economy, and technology do not concern me. What concerns me is
people. Where people of intelligence, good will, and social consciousness
predominate, whatever problems may face us are being resolved. But where people
driven by greed or lust or need for self-aggrandizement predominate,
the earth is laid to waste and terror reigns. We have both kinds on
this planet and depending on where one looks one may be filled with
hope and wonder or with horror and despair. Mostly, one observes a
struggle between the two, a struggle complicated by disagreements on
what constitutes a good life. And the outcome is not obvious.
However,
I'm an optimist. The mere fact that we do have
great-hearted and splendid-minded people among us encourages me. There is a
legend that God will not destroy the world if as few as thirty six good people
can be found on it. I believe that. It only takes a few good seeds to raise a
great harvest. I believe that intelligence, intellectual, emotional and social
will always prevail against chaos given half a chance. Half a chance is all
we need. It's slow going now, but I think we are on an exponential curve
toward an enlightened majority of the human population. If the weather doesn't
get us, I believe the golden age of humanity lies ahead of us.
Until
tomorrow,
Paul W.
07/12/07 (#0026)
Quality Assurance
Quality. In it's positive sense it has been
defined simply as "just what you like" (Pirsig). For mass manufacturers and
producers of material goods this translates to "just what a large
majority of potential customers will like". This is determined by the
market research people who then write Quality Specifications which tell
the production people "if you make it like that they will like
it".
Easier said than done. Production is not a perfect process. Like
everything else, it is variable and subject to errors. Product quality will
vary, so we need Quality Inspection to detect and
remove product that does not meet the specs (keeping in mind
that QI itself is subject to errors). Of course, in addition to Quality
Inspection, we need Quality Control: the engineering
people must provide a way of controlling the process so that
the quality of the product can be readjusted by the production people when
it starts drifting away from the specifications. Even so,
some off-spec product will be made and some of it will
escape Quality Inspection. That is a practical
certainty.
This is where Quality Assurance steps in.
QA asks: "what percentage of out-of-spec product can we tolerate
economically, given the cost of returns, lost sales, adverse publicity,
etc.?" Then it devises QI and QC strategies to assure that no
greater percentage of such product gets out in the market (plus or minus a
certain error). At the same time QA assures that the percentage
of out-of-spec product is no lesser since reducing it could
substantially increase the cost of production.
And that is the best
we can do, and it is very good. Except in the opinion
of those who demand perfection. But such
people are damned to eternal disappointment.
Until
tomorrow,
Paul W.
07/11/07 (#0035) Brain: not
just a tool for
survival
The human brain
definitely tops any list of Wonders of the World. Maybe not of the
universe, but certainly of this planet. We know of nothing more intricate, more
marvelous or more mysterious.
One of my readers referred to it somewhat
dismissively as "the 2 1/2 lb. brain". But the information and the
information processing algorithms packed into those 2 1/2 pounds are, well, mind
boggling. Astonishing as the gigantic feats of computing that our brains perform
routinely merely to keep us conscious and active, once in a while we get a
reminder, in form of a genius or a prodigy, that our brains are potentially
capable of far more.
The fascinating thing is that
genius often has nothing to do with utility, that is with the need for
survival and thriving of the species, which is what drove the evolution of
the brain to begin with. The brain is no longer a purely
utilitarian structure whose sole purpose is preservation and maintenance of
life - it now has functionalities, such as aesthetic appreciation, which go
far beyond mere maintenance of life to enhancement of its quality. Sometimes
even at a risk of loosing it or intentionally giving it up when its quality
deteriorates. What matters now is the enjoyment of
life and that trumps mere survival.
Until
tomorrow,
Paul W.
07/10/07 (#0034) When
you can't tell right from
wrong
Here's what scares me: not being
able to tell right from wrong. In music: is this chord right or wrong? No clue.
In visual arts: are the proportions right or wrong? I can't tell. In logic: is
my argument correct or am I missing something obvious? If I am I don't know
what it is. It's the inability to judge, to discriminate between the good
and the bad that is really really scary.
I pay attention to whatever
is the situation so that I can respond appropriately. Sometimes it's
immediately obvious what needs to be done. Sometimes it takes time
and careful analysis to decide what is the right action under the
circumstances. And sometimes I just don't know what to do.
Of course,
most of the time it is not a matter of life and death and what I decide to do is
of little or no consequence. But life does bring up important or critical
choices from time to time and that's when inability to tell right from wrong can
become terrifying.
Training/education, tradition/custom, doctrine/law,
these are aids to help us make the right judgement, but despite the great
volume of accumulated wisdom we continue to face uniquely original
dilemmas with no answers. That's when the existential fear really
kicks in. We toss a coin, follow a hunch, or go with the feeling, then
plunge into the dark and hope.
Until tomorrow,
Paul W.
07/09/07 (#0033) Don
Quixote vs. English
I
own 21 editions of "Don Quixote". Three Spanish, one Polish, and the rest are various English translations from the
first one done in the 16th century to the latest published in 2005. (This by no
means exhausts the list of English versions of which at least forty are
known). My reason for this quixotic collection has nothing to do with
the opinion of the majority of literary critics who
consider DQ to be the first modern novel and the greatest
one written so far. (That despite the fact that long stretches of it are all but
unreadable and the whole thing is a ramshackle patchwork of episodic
tales held together by the presence of the two unarguably
most fabulous characters ever). No, the reason I have collected
all these versions is that I'm trying to recapture the childhood
enchantment of my first exposure to the Cervantez classic at the age of about
five. I was an early reader. "Don Quixote" was the first novel I have ever
read and I was transfixed with wonder.
The version I read at five
was an abridged Polish version illustrated by Gustav Dore. It has long ago
vanished from my life - it was left behind in 1939 as we were escaping from the
Nazis. The problem with the English versions, almost all of them, is that
English and Spanish are vastly different in spirit and power of expression.
Spanish is a language naturally expressive of feelings, English is a
language naturally expressive of facts. Not that English is incapable of
effective expression of feelings, but it is English feelings that it is
most adept at expressing. Try as it might, it is incapable of expressing
accurately, succintly and elegantly, all that Spanish expresses with
natural grace and ease. Literal transations of DQ are a travesty. Translations
which praphrase, Anglicise and otherwise transform the text for more
natural sound tend to loose the spirit and sometimes the meaning of the
original. There is no truly satisfactory English translation of DQ though some
are better than others.
I have not yet mastered Spanish sufficiently
to be able to read DQ fluently in the original language. However, I am blessed
with good command of Polish, a language far closer in spirit to Spanish than
English. There are two or three translations of DQ into Polish, one of which is
quite excellent. As best I can tell, it captures the original vividly and
accurately in a language that feels perfectly natural. It is certainly far and
above any of the English translations. Until I master Spanish, it will
do.
Until tomorrow,
Paul W.
07/07/07 (#0032) The
graceless species: use and abuse of brain power
Proportion. Balance. Grace. The "sweet spot" of
existence, where everything comes together "just right". One would think that
most individual lives would naturally gravitate to that state of optimal grace -
and one would be right, except for one species: homo sapiens. In the
case of all other animals and living creatures the optimal grace is the norm,
the middle of the Bell curve. The graceless misfits are
usually a small minority and they get eaten up in short order
by organisms higher up in the food chain. The unreasoning nature is
beautiful and elegant and graceful. Even dumb rocks, air, water and
fire exist in a state of grace.
Not so homo sapiens. We have just enough intelligence and reasoning power to get ourselves into
trouble and inevitably, inexorably we do. The universal trap that we
all fall into: our inordinate trust in our own powers of reasoning leads us
to think we understand more than we do. And the more successful we are in
achieving our goals the more vulnerable we become to this conceit. Result? Those
of us who live in the state of optimal grace are in a small
minority. Decidedly abnormal.
It's difficult for the by far the brainiest
species on the planet to be humble, but that is precisely the virtue we need to
avoid becoming extinct. Superior intelligence is a successful strategy for
survival only when firmly anchored in relentless, ruthless realism. The moment
we substitute mental processes for facts on the ground we're dead meat.
Especially since we have no other strategy to fall back on - for better or worse
we have become utterly dependent on our brains.
Until
Monday,
Paul W.
07/06/07 (#0031) Theory of
Measurement
Jesus, being God, did create a guarantee for
salvation. A partial view of the situation may seem like failure, but
we do not see the whole picture.
We don't know what has happened to past
generations, but, as you said, we have hope; and faith, which is the core
of Christianity. Trust that Jesus is right and lean on that
which has happened in our lives to confirm our faith and his promises. Free will
- a wonderfully horrible thing. Wonderful, we are not puppets. Horrible, there
is room for error.
Elisa
Yes, there's room for error. But there is also a
way out of error. See also below. - The Ed
Jesus
did not attempt to do anything TO 'humanity' (or 'the entire human race'); he merely(?!!!)
made it possible for 'humanity' not to remain in its state and
destiny. It is completely up to the individual in every age whether or not
to accept the proffered possibility of a change of state and destiny.
"Do
not let your hearts be troubled. Trust in God; trust also in me."
(Jesus)
Charles
Did I not say just
that? However, it's true that Jesus did offer a guarantee to those who believe
and trust in him. I think that is the secret of the success
of Christianity. - The Ed
Two things of value I carried away from my four year stint
at the School of Practical Science at the University of Toronto: The
eye-opening freshman course in Philosophy 101 (required) and the Theory of
Measurement, the foundation of my professional success and of my understanding
of the world. I hardly remember the rest - thermodynamics, kinetics,
organic chemistry, differential equations - most of it a
bore.
It was the Theory of Measurement that, many years later, led me to
formulate the "Elements of Existence", an essay on nature of being I wrote
to clarify for myself what's what and why. It was the Theory of Measurement
(with a little help from "Zen and the Art of Motorcycle Maintenance") that
defined "quality" for me, in all its meanings. The fact is the Theory of
Measurement forms the bulk of my education - it was the most seminal course of
study I have ever undertaken.
What is the Theory of
Measurement, already? you ask. In a nutshell: it has to do with errors in
observations of differences. It teaches that error is unavoidable and in
order to allow for it you must know what it is. Knowing your error is the source
of all wisdom. The secret of success - whether building a bridge or creating a
painting or running a country - lies in the strategies for dealing with
errors, known and unknown.
Until tomorrow,
Paul W.
07/05/07 (#0030)
Salvation is not guaranteed - but there is hope
I think people severely bullied in
their childhood spend a lot of time
It could
not have been the intent of Jesus, the Christian Messiah, to save the whole of
humanity. If that were the case, a review of the history of the so called
Christian Era and of the current state of the world would force one to conclude
that Jesus has failed.
It may have been Jesus' desire to save the
entire human race, but the logic of free will and the uncertainty of the
uncreated future precludes that. All that Jesus could realistically
offer was a way towards salvation, that is, towards the realization of
the full human potential for joy. He could not guarantee it. At least not in the
world of time and space.
Looking
at Jesus' legacy from this
realistic point of view, there's room for hope. The core of his
teachings has persisted and has affected (and continues to affect) the evolution
of world civilization in positive ways. In general, there has been at the very least
a preservation of what good will there is among men if not an actual increase.
I, for one, believe, optimistically, there has been an
increase, though I know I will be shouted down by the chorus of those who
believe things have never been worse than they are now. I am not one of
them.
Until tomorrow,
Paul W.